(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     16843,        494]
NotebookOptionsPosition[     13872,        408]
NotebookOutlinePosition[     16106,        466]
CellTagsIndexPosition[     16021,        461]
WindowTitle->FCTopology
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[Cell[BoxData[
     ActionMenuBox[
      FrameBox[
       InterpretationBox[Cell[TextData[{
         "URL",
         StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
          StripOnInput->False]
        }]],
        TextCell[
         Row[{"URL", 
           Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
       StripOnInput->False], {"\<\"FeynCalc/ref/FCTopology\"\>":>
      None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell["FeynCalc/ref/FCTopology"]}, Visible -> False]]; 
       SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; Null], 
      Delimiter, "\<\"Copy web URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell[
             BoxData[
              MakeBoxes[
               Hyperlink[
               "http://reference.wolfram.com/language/FeynCalc/ref/FCTopology.\
html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> 
           False]]; SelectionMove[
        DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; 
       Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
        NotebookLocate[{
          URL[
           StringJoin[
            If[
             TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$128590], 
             "http://reference.wolfram.com/system-modeler/", 
             "http://reference.wolfram.com/language/"], 
            "FeynCalc/ref/FCTopology", ".html"]], None}]}]},
      Appearance->None,
      MenuAppearance->Automatic,
      MenuStyle->"URLMenu"]],
     LineSpacing->{1.4, 0}]], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["FCTopology", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"FCTopology", "[", 
       RowBox[{"id", ",", 
        RowBox[{"{", 
         RowBox[{"prop1", ",", "prop2", ",", "..."}], "}"}]}], "]"}]], 
      "InlineFormula"],
     " \[LineSeparator]denotes a topology with the identifier id that is \
characterized by the propagators {prop1, prop2, ...}. The propagators in the \
list do not necessarily have to form a valid basis, i.e. the basis may also \
be incomplete or overdetermined."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->1448920176],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->1648616447],

Cell["A 2-loop topology with one external momentum Q", "Notes",
 CellID->61003118],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FCTopology", "[", 
  RowBox[{"topo1", ",", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"SFAD", "[", "p1", "]"}], ",", 
     RowBox[{"SFAD", "[", "p2", "]"}], ",", 
     RowBox[{"SFAD", "[", 
      RowBox[{"Q", "-", "p1", "-", "p2"}], "]"}], ",", 
     RowBox[{"SFAD", "[", 
      RowBox[{"Q", "-", "p2"}], "]"}], ",", 
     RowBox[{"SFAD", "[", 
      RowBox[{"Q", "-", "p1"}], "]"}]}], "}"}]}], "]"}]], "Input",
 CellLabel->"In[1]:=",
 CellID->118610951],

Cell[BoxData[
 FormBox[
  RowBox[{"FCTopology", "(", 
   RowBox[{"topo1", ",", 
    RowBox[{"{", 
     RowBox[{
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",SuperscriptBox[
           FormBox[
            FormBox["p1", TraditionalForm], TraditionalForm], 2],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",SuperscriptBox[
           FormBox[
            FormBox["p2", TraditionalForm], TraditionalForm], 2],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",RowBox[{
            SuperscriptBox[
             RowBox[{
               FormBox["\"(\"", TraditionalForm], 
               FormBox[
                FormBox[
                 RowBox[{
                   RowBox[{"-", 
                    FormBox["p1", TraditionalForm]}], "-", 
                   FormBox["p2", TraditionalForm], "+", 
                   FormBox["Q", TraditionalForm]}], TraditionalForm], 
                TraditionalForm], 
               FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",RowBox[{
            SuperscriptBox[
             RowBox[{
               FormBox["\"(\"", TraditionalForm], 
               FormBox[
                FormBox[
                 RowBox[{
                   FormBox["Q", TraditionalForm], "-", 
                   FormBox["p2", TraditionalForm]}], TraditionalForm], 
                TraditionalForm], 
               FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",RowBox[{
            SuperscriptBox[
             RowBox[{
               FormBox["\"(\"", TraditionalForm], 
               FormBox[
                FormBox[
                 RowBox[{
                   FormBox["Q", TraditionalForm], "-", 
                   FormBox["p1", TraditionalForm]}], TraditionalForm], 
                TraditionalForm], 
               FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm]}], "}"}]}], ")"}], TraditionalForm]], "Output",
 ImageSize->{456, 87},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[1]=",
 CellID->1251398012]
}, Open  ]],

Cell["A 3-loop topology with one external momentum Q", "Notes",
 CellID->775051570],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FCTopology", "[", 
  RowBox[{"topo2", ",", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"SFAD", "[", "p1", "]"}], ",", 
     RowBox[{"SFAD", "[", "p2", "]"}], ",", 
     RowBox[{"SFAD", "[", "p3", "]"}], ",", 
     RowBox[{"SFAD", "[", 
      RowBox[{"Q", "-", "p1", "-", "p2", "-", "p3"}], "]"}], ",", 
     RowBox[{"SFAD", "[", 
      RowBox[{"Q", "-", "p1", "-", "p2"}], "]"}], ",", 
     RowBox[{"SFAD", "[", 
      RowBox[{"Q", "-", "p1"}], "]"}], ",", 
     RowBox[{"SFAD", "[", 
      RowBox[{"Q", "-", "p2"}], "]"}], ",", 
     RowBox[{"SFAD", "[", 
      RowBox[{"p1", "+", "p3"}], "]"}], ",", 
     RowBox[{"SFAD", "[", 
      RowBox[{"p2", "+", "p3"}], "]"}]}], "}"}]}], "]"}]], "Input",
 CellLabel->"In[2]:=",
 CellID->1727195996],

Cell[BoxData[
 FormBox[
  RowBox[{"FCTopology", "(", 
   RowBox[{"topo2", ",", 
    RowBox[{"{", 
     RowBox[{
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",SuperscriptBox[
           FormBox[
            FormBox["p1", TraditionalForm], TraditionalForm], 2],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",SuperscriptBox[
           FormBox[
            FormBox["p2", TraditionalForm], TraditionalForm], 2],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",SuperscriptBox[
           FormBox[
            FormBox["p3", TraditionalForm], TraditionalForm], 2],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",RowBox[{
            SuperscriptBox[
             RowBox[{
               FormBox["\"(\"", TraditionalForm], 
               FormBox[
                FormBox[
                 RowBox[{
                   RowBox[{"-", 
                    FormBox["p1", TraditionalForm]}], "-", 
                   FormBox["p2", TraditionalForm], "-", 
                   FormBox["p3", TraditionalForm], "+", 
                   FormBox["Q", TraditionalForm]}], TraditionalForm], 
                TraditionalForm], 
               FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",RowBox[{
            SuperscriptBox[
             RowBox[{
               FormBox["\"(\"", TraditionalForm], 
               FormBox[
                FormBox[
                 RowBox[{
                   RowBox[{"-", 
                    FormBox["p1", TraditionalForm]}], "-", 
                   FormBox["p2", TraditionalForm], "+", 
                   FormBox["Q", TraditionalForm]}], TraditionalForm], 
                TraditionalForm], 
               FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",RowBox[{
            SuperscriptBox[
             RowBox[{
               FormBox["\"(\"", TraditionalForm], 
               FormBox[
                FormBox[
                 RowBox[{
                   FormBox["Q", TraditionalForm], "-", 
                   FormBox["p1", TraditionalForm]}], TraditionalForm], 
                TraditionalForm], 
               FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",RowBox[{
            SuperscriptBox[
             RowBox[{
               FormBox["\"(\"", TraditionalForm], 
               FormBox[
                FormBox[
                 RowBox[{
                   FormBox["Q", TraditionalForm], "-", 
                   FormBox["p2", TraditionalForm]}], TraditionalForm], 
                TraditionalForm], 
               FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",RowBox[{
            SuperscriptBox[
             RowBox[{
               FormBox["\"(\"", TraditionalForm], 
               FormBox[
                FormBox[
                 RowBox[{
                   FormBox["p1", TraditionalForm], "+", 
                   FormBox["p3", TraditionalForm]}], TraditionalForm], 
                TraditionalForm], 
               FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm], ",", 
      FormBox[
       FractionBox["1", 
        TemplateBox[{"\"(\"",RowBox[{
            SuperscriptBox[
             RowBox[{
               FormBox["\"(\"", TraditionalForm], 
               FormBox[
                FormBox[
                 RowBox[{
                   FormBox["p2", TraditionalForm], "+", 
                   FormBox["p3", TraditionalForm]}], TraditionalForm], 
                TraditionalForm], 
               FormBox["\")\"", TraditionalForm]}], 2]}],"\"+\"",
          RowBox[{"\[ImaginaryI]", " ", "\"\[Eta]\""}],"\")\""},
         "RowDefault"]],
       TraditionalForm]}], "}"}]}], ")"}], TraditionalForm]], "Output",
 ImageSize->{519, 134},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[2]=",
 CellID->98652862]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"FCTopology",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 6, 28.219423}", 
    "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "FCTopology[id, {prop1, prop2, ...}] denotes a topology with the \
identifier id that is characterized by the propagators {prop1, prop2, ...}. \
The propagators in the list do not necessarily have to form a valid basis, \
i.e. the basis may also be incomplete or overdetermined.", "synonyms" -> {}, 
    "tabletags" -> {}, "title" -> "FCTopology", "titlemodifier" -> "", 
    "windowtitle" -> "FCTopology", "type" -> "Symbol", "uri" -> 
    "FeynCalc/ref/FCTopology"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[3873, 111, 388, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->1448920176]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 15877, 454}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[582, 21, 2281, 53, 53, "AnchorBarGrid",
 CellID->1],
Cell[2866, 76, 287, 11, 45, "ObjectNameGrid"],
Cell[3156, 89, 692, 18, 118, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[3873, 111, 388, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->1448920176],
Cell[CellGroupData[{
Cell[4286, 130, 196, 6, 26, "ExampleSection",
 CellID->1648616447],
Cell[4485, 138, 82, 1, 32, "Notes",
 CellID->61003118],
Cell[CellGroupData[{
Cell[4592, 143, 479, 14, 45, "Input",
 CellID->118610951],
Cell[5074, 159, 2789, 76, 108, "Output",
 CellID->1251398012]
}, Open  ]],
Cell[7878, 238, 83, 1, 32, "Notes",
 CellID->775051570],
Cell[CellGroupData[{
Cell[7986, 243, 765, 21, 62, "Input",
 CellID->1727195996],
Cell[8754, 266, 5052, 135, 155, "Output",
 CellID->98652862]
}, Open  ]]
}, Open  ]]
}, Open  ]],
Cell[13845, 406, 23, 0, 70, "FooterCell"]
}
]
*)

(* End of internal cache information *)

